污染环境下具有尺度结构的捕食种群模型解的存在唯一性

Existence and Uniqueness of Solution for Predator-Prey Population Model with Size-Structured in Polluted Environment

摘要: 近年来，环境污染问题受到人们的广泛关注，同时研究污染环境下种群的发展规律也显得尤为重要。本文提出一个污染环境下具有尺度结构的捕食种群模型，通过建立相应的假设并运用特征线法得到了系统的形式解，然后通过不等式估计和Banach不动点定理证明了模型解的存在唯一性。

Abstract: In recent years, people pay more and more attention to the problem of environmental pollution, and it is very important to study the law of population development in polluted environment. In this paper, a predator-prey population model with size-structured in polluted environment is proposed. The formal solution of the model is obtained by establishing the corresponding as-sumptions and using the characteristic line method. Then the existence and uniqueness of the so-lution are proved by inequality estimation and Banach fixed point theorem.